313947264 has 96 divisors (see below), whose sum is σ = 851059440. Its totient is φ = 102535680.

The previous prime is 313947259. The next prime is 313947269. The reversal of 313947264 is 462749313.

313947264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313947259) and next prime (313947269).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (313947269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2396479 + ... + 2396609.

Almost surely, 2^313947264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425529720).

313947264 is an abundant number, since it is smaller than the sum of its proper divisors (537112176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313947264 is an equidigital number, since it uses as much as digits as its factorization.

313947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 215 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 313947264 is about 17718.5570518595. The cubic root of 313947264 is about 679.6503854476.

It can be divided in two parts, 3139 and 47264, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 313947264 in words is "three hundred thirteen million, nine hundred forty-seven thousand, two hundred sixty-four".